Abstract
In this Letter, some Virasoro integrable models are obtained by means of the realizations of the generalized centerless Virasoro type symmetry algebra, [σ(f 1),σ(f 2)]=σ( f ̇ 2f 1− f ̇ 1f 2) . Two of them are (3+1)-dimensional extensions of the Nizhnik–Novikov–Veselov equation and breaking soliton equation. Some special type of high-dimensional soliton solutions like the camber solitons, multiple ring solitons and multiple dromion solutions for the breaking soliton equation is discussed. The interaction between two ring solitons is completely elastic. Whether the method can be used to find some (3+1)-dimensional models integrable by the inverse scattering transformation remains still open.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.